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83041975808 = 291127315399
BaseRepresentation
bin100110101010110101…
…1111111111000000000
321221100100010110022122
41031111223333320000
52330032221211213
6102052101423412
75666600101511
oct1152553777000
9257310113278
1083041975808
1132244037580
121411670ab68
137aa54252bc
14403ab8aa08
1522605a4d08
hex1355affe00

83041975808 has 80 divisors (see below), whose sum is σ = 181105372800. Its totient is φ = 37725542400.

The previous prime is 83041975789. The next prime is 83041975817. The reversal of 83041975808 is 80857914038.

It is a self number, because there is not a number n which added to its sum of digits gives 83041975808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15378293 + ... + 15383691.

It is an arithmetic number, because the mean of its divisors is an integer number (2263817160).

Almost surely, 283041975808 is an apocalyptic number.

83041975808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83041975808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90552686400).

83041975808 is an abundant number, since it is smaller than the sum of its proper divisors (98063396992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83041975808 is a wasteful number, since it uses less digits than its factorization.

83041975808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8159 (or 8143 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 53.

The spelling of 83041975808 in words is "eighty-three billion, forty-one million, nine hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2731 2816 5399 5462 5632 10798 10924 21596 21848 30041 43192 43696 59389 60082 86384 87392 118778 120164 172768 174784 237556 240328 345536 349568 475112 480656 691072 699136 950224 961312 1382144 1398272 1900448 1922624 2764288 3800896 3845248 7601792 7690496 14744669 15203584 15380992 29489338 30407168 58978676 117957352 162191359 235914704 324382718 471829408 648765436 943658816 1297530872 1887317632 2595061744 3774635264 5190123488 7549270528 10380246976 20760493952 41520987904 83041975808